A unique exchange property for bases
From MaRDI portal
Publication:1151402
DOI10.1016/0024-3795(80)90209-8zbMath0458.05022OpenAlexW2068423395MaRDI QIDQ1151402
Publication date: 1980
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(80)90209-8
Related Items
On the toric ideals of matroids of a fixed rank, Matroid Toric Ideals: Complete Intersection, Minors, and Minimal Systems of Generators, Reconstructibility of Matroid Polytopes, A Gröbner basis characterization for chordal comparability graphs, Linear spaces, transversal polymatroids and ASL domains, Base exchange properties of graphic matroids, Discrete polymatroids satisfying a stronger symmetric exchange property, Frame matroids, toric ideals, and a conjecture of White, Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux, A base exchange property for regular matroids, Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes, Gorenstein graphic matroids from multigraphs, The geometry of geometries: matroid theory, old and new, Weighted exchange distance of basis pairs, Exchange Distance of Basis Pairs in Split Matroids, Toric ideals of lattice path matroids and polymatroids, On a base exchange game on bispanning graphs, On the toric ideal of a matroid, Toric and tropical compactifications of hyperplane complements, The toric ideal of a graphic matroid is generated by quadrics, Base-sortable matroids and Koszulness of semigroup rings, Toric degenerations of flag varieties from matching field tableaux, On the Betti numbers and Rees algebras of ideals with linear powers, Toric degenerations of Grassmannians from matching fields, Koszul multi-Rees algebras of principal \(L\)-Borel ideals, Expansion and contraction functors on matriods, Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems, Gorenstein graphic matroids, Existence of unimodular triangulations — positive results, The Behaviors of Expansion Functor on Monomial Ideals and Toric Rings, On the Gauss algebra of toric algebras, Matroids on partially ordered sets, Products of polymatroids with the strong exchange property, Gröbner bases of toric ideals associated with matroids, Low degree equations for phylogenetic group-based models, Discrete polymatroids, Power graphs and exchange property for resolving sets
Cites Work
- Unnamed Item
- Kuratowski's and Wagner's theorems for matroids
- Some properties of basic families of subsets
- An exchange theorem for bases of matroids
- Another Exchange Property for Bases
- The Bracket Ring of a Combinatorial Geometry. II: Unimodular Geometries
- The Bracket Ring of a Combinatorial Geometry. I
- Some Abstract Pivot Algorithms
- Decomposing symmetric exchanges in matroid bases
- Alternating Basis Exchanges in Matroids
- Comments on bases in dependence structures
- A Combinatorial Model for Series-Parallel Networks
- On the Foundations of Combinatorial Theory II. Combinatorial Geometries
- A Multiple Exchange Property for Bases
